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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. Akad. Nauk SSSR Ser. Mat., 1968 Volume 32, Issue 3, Pages 709–731 (Mi im2484)
This article is cited in 69 papers

Infinite periodic groups. III

P. S. Novikov, S. I. Adian


Abstract: In this paper we construct an example of an infinite periodic group with a finite number of generators, in which the orders of all the elements are bounded by a specified number. This is a solution of the well-known Burnside problem.

UDC: 519.4

MSC: 20F50, 20F05, 20F10

Received: 23.10.1967


 English version: Mathematics of the USSR-Izvestiya, 1968, 2:3, 665–685

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